Children sometimes solve problems incorrectly because they fail to represent key features of the problems. One potential source of improvements in children's problem representations is learning new problem-solving strategies. Ninety-one 3rd- and 4th-grade students solved mathematical equivalence problems (e.g., 3+4+6=3+__) and completed a…

Three classrooms of Grade 4 students from different schools and diverse backgrounds collaborated in early algebra research to solve a series of linear and quadratic generalizing problems. Results revealed that high- and low-achieving students were able to solve problems of recognized difficulty. We discuss Knowledge Building principles and…

Two instructional experiments used randomized, controlled designs to evaluate the effectiveness of writing instruction for students with carefully diagnosed dyslexia, which is both an oral reading and writing disorder, characterized by impaired "word" decoding, reading, and spelling. In Study 1 (4th to 6th grade sample and 7th to 9th grade…

The authors explored the effects of teaching conceptual model-based problem-solving instruction on students' ability to solve problems in various situations. Participants were 3 4th-and 5th-grade students with or at risk for mathematics disabilities. The authors used an adapted multiple-probe across-participants design to assess the functional…

For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…

In this research, we examined overall performance and gender differences in measurement skills in elementary-school students from low-income families. In Study 1, accuracy and error patterns were analyzed in a large sample of fourth-graders; in Study 2 error patterns and strategy usage were examined with a smaller sample of fourth-graders. Study 1…

In a 2-year longitudinal study, 66 children were assessed in Grades 3 and 4 with a within-method-and-time design on metacognition (including the computerized Evaluation and Prediction Assessment [EPA2000]) and mathematics. Moreover, half of the children were trained in Grade 3 in the metacognitive skill of predicting their abilities in solving…

During 3 field experience visits, 23 elementary preservice teachers implemented mathematical problem-solving tasks with grade 3-6 gifted students. Researchers investigated what the teachers learned about gifted students regarding student characteristics, mathematical problem-solving tasks, and pedagogy. Each teacher completed a pre- and…

NCTM's Process Standards support teaching that helps upper elementary level children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every intermediate-grades teacher the opportunity to explore each standard in depth. With language and examples that don't require prior math…

Presently, research is questioning the value of homework, especially at the elementary level. One reason homework is considered important is that it allows for the opportunity to practice and reinforce skills. Currently, elementary students in the United States are assigned homework in mathematics three or more times a week. Since homework…

Three phases of development of self-regulatory skill in the domain of mathematical problem solving were designed to examine students' behaviour and the effects on their problem solving ability. Forty-eight Grade 4 students (10 year olds) participated in this pilot study. The students were randomly assigned to one of three groups, each representing…

Moral development research has often focused on the development of moral reasoning without considering children's understanding of moral advisors. We investigated how children construe sources of moral advice by examining the characteristics that children deem necessary for reasoning about moral or scientific problems. In two experiments, children…

Twenty-one 4th- and 5th-grade students with learning disabilities and emotional disabilities were assigned at random to a control condition or to an experimental condition in which they were taught, over a 9-week period, a five-step self-determination strategy for solving school- or home-related problems. Maintenance was assessed 3 weeks after the…

Seeking improved student performance in elementary schools has led educators to advocate inquiry-based teaching approaches, including problem-based learning (PBL). In PBL, students simultaneously develop problem-solving strategies, disciplinary knowledge bases, collaborative skills, and dispositions. Research into the efficacy of PBL in elementary…

Two general models exist for implementing Response to Intervention (RtI) for struggling students, the standard protocol model and the problem-solving model. This study examined the long-term outcomes of one example of the problem-solving method, the Instructional Support Team (IST), in a field setting. Academic records of 32 students were reviewed…